Entropy and Multi-Fractal Analysis in Complex Fractal Systems Using Graph Theory
In 1997, Sierpinski graphs, S(n,k), were obtained by Klavzar and Milutinovic. The graph S(1,k) represents the complete graph Kk and S(n,3) is known as the graph of the Tower of Hanoi. Through generalizing the notion of a Sierpinski graph, a graph named a
Zeeshan Saleem Mufti +3 more
doaj +1 more source
Counterion Dependent Side‐Chain Relaxation Stiffens a Chemically Doped Thienothiophene Copolymer
Oxidation of a thienothiophene copolymer, p(g3TT‐T2), via different doping strategies and dopant molecules resulted in materials with similar oxidation levels and a high electrical conductivity of ≈100 S cm−1. However, mechanical properties varied significantly, with sub‐glass transition temperatures and elastic moduli spanning from –44°C to –3°C and ...
Mariavittoria Craighero +12 more
wiley +1 more source
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
core +5 more sources
Exceptional Electro‐Optic Coefficient Unlocked via Polarization Swaying in KNbO3 Thin Films
We present the largest reported electro‐optic response in any material to date, guided by a new design principle that exploits ultralow coercive field polarization swaying enabled by low‐symmetry ferroelectric phases in monoclinic KNbO3 thin films for energy‐efficient classical and quantum photonic integrated circuits. ABSTRACT The electro‐optic effect
Sankalpa Hazra +11 more
wiley +1 more source
The symmetric Meixner–Pollaczek polynomials with real parameter
The Symmetric Meixner–Pollaczek polynomials pn(λ)(x/2,π/2), for λ>0 are well-studied polynomials. These are polynomials orthogonal on the real line with respect to a continuous, positive real measure. For λ⩽0, pn(λ)(x/2,π/2) are also polynomials, however
Araaya, Tsehaye K.
core +1 more source
Optimal control, construction, and analysis of λ-Bernstein Bézier surfaces for quasi-harmonic functional [PDF]
In this article, we investigate a novel construction scheme for λ-Bernstein Bézier surfaces and illustrate it with biquadratic and bicubic cases to demonstrate their geometric characteristics and their applications.
Buttar Mariyam Ehsan, Ahmad Daud
doaj +1 more source
Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations [PDF]
We investigate semi-classical generalizations of the Charlier and Meixner polynomials, which are discrete orthogonal polynomials that satisfy three-term recurrence relations.
Clarkson, Peter
core +1 more source
A 6‐in wafer‐scale atomic‐layer‐controlled tungsten disulfide (WS2) is achieved by combining plasma‐assisted synthesis with three‐gas reactive ion etching. Precise layer control enables tunable band‐gap evolution and pulse‐history‐dependent opto‐memristive dynamics.
Seongho Kim +17 more
wiley +1 more source
Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods
In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol ...
Yilmaz Simsek
doaj +1 more source
Cuttlefish and squid can catch their prey within milliseconds using specialized tentacles and suckers. The physics of how the suckers can attach so quickly has remained a mystery given the technical challenges of studying them in vivo. In this publication, we develop a hydrogel that retains imprints of the suckers in order to estimate the forces they ...
Alexander Koehnsen +4 more
wiley +1 more source

